13261383900 has 216 divisors, whose sum is σ = 43426699680. Its totient is φ = 3380590080.

The previous prime is 13261383899. The next prime is 13261383913. The reversal of 13261383900 is 938316231.

13261383900 is a `hidden beast` number, since 1 + 3 + 2 + 613 + 8 + 39 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2685834 + ... + 2690766.

Almost surely, 2^13261383900 is an apocalyptic number.

13261383900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13261383900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21713349840).

13261383900 is an abundant number, since it is smaller than the sum of its proper divisors (30165315780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13261383900 is a wasteful number, since it uses less digits than its factorization.

13261383900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13261383900 in words is "thirteen billion, two hundred sixty-one million, three hundred eighty-three thousand, nine hundred".